Minimal Divisors of Rational Matrix Functions with Prescribed Zero and Pole Structure
Israel Gohberg, M. A. Kaashoek, L. Lerer, Leiba Rodman · Birkhäuser Basel eBooks · 1984
Necessary and sufficient conditions are given in order that a rational matrix function is a minimal divisor of another one. These conditions are expressed in terms of zero and pole structure of the given functions. In connection with this a description is obtained of all rational matrix functions with prescribed zero and pole data.